3.G.2
Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4 parts with equal area, and describe the area of each part as 1/4 of the area of the shape.
Example Problems
A spinner lands on red 40% of the time. Let be the number of spins until the spinner first lands on red. Assume spins are independent.
Find the probability that the first red occurs on the 2nd spin.
Round your answer to the nearest hundredth.
Find the probability that the first red occurs on the 2nd spin.
Round your answer to the nearest hundredth.
A factory sensor falsely triggers 2% of the time. Let be the number of readings taken until the first false trigger. Assume readings are independent.
Find the probability that the first false trigger occurs on the 12th reading.
Round your answer to the nearest hundredth.
Find the probability that the first false trigger occurs on the 12th reading.
Round your answer to the nearest hundredth.
During quality control, of items are defective. Let be the number of items inspected until the first defective item is found. Assume item defects are independent.
Find the probability that the first defective item is found on the 10th inspection.
Round your answer to the nearest hundredth.
Find the probability that the first defective item is found on the 10th inspection.
Round your answer to the nearest hundredth.
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